Greatest Common Factor of 5709 and 5715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5709, 5715 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5709 and 5715 is 3.

GCF(5709,5715) = 3

GCF of 5709 and 5715

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5709 and 5715

GCF of 5709 and 5715 is 3

Prime Factorization of 5709


3 5709
11 1903
173 173
1

Prime factors of 5709 are 3,11,173. Prime factorization of 5709 in exponential form is:

5709 = 31×111×1731

Prime Factorization of 5715


3 5715
3 1905
5 635
127 127
1

Prime factors of 5715 are 3,5,127. Prime factorization of 5715 in exponential form is:

5715 = 32×51×1271

∴ So by taking common prime factors GCF of 5709 and 5715 is 3

Greatest Common Factor of 5709 and 5715 by matching factors method

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1,3,11,33,173,519,1903,5709

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1,3,5,9,15,45,127,381,635,1143,1905,5715

Greatest Common Factor

We found the factors and prime factorization of 5709 and 5715. The biggest common factor number is the GCF number.
So the greatest common factor 5709 and 5715 is 3.

Also check out the Least Common Multiple of 5709 and 5715

Properties of GCF 5709 and 5715

(i) The GCF of 5709 and 5715 is associative

GCF of 5709 and 5715 = GCF of 5715 and 5709

Related Greatest Common Factor of 5709

Related Greatest Common Factor of 5715

Frequently Asked Questions on GCF of 5709 and 5715

1. What is the GCF of 5709 and 5715?

Answer: GCF of 5709 and 5715 is 3.

2. What are the Factors of 5709?

Answer: Factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709. There are 8 integers that are factors of 5709. The greatest factor of 5709 is 5709.

3. What are the Factors of 5715?

Answer: Factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715. There are 12 integers that are factors of 5715. The greatest factor of 5715 is 5715.

4. How to Find the GCF of 5709 and 5715?

Answer:

Greatest Common Factor of 5709 and 5715 = 3

Step 1: Find the prime factorization of 5709

5709 = 3 x 11 x 173

Step 2: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5709 and 5715 is 3